In this paper, the Mönch fixed point theorem is used to investigate the existence of solutions of a n-point boundary value problem on the half-line in a Banach space. As an application, we give an example in an infinite dimensional
space to demonstrate our results.
KeywordsBoundary value problem-Half-line-Banach spaces-Existence of solution
[Show abstract][Hide abstract] ABSTRACT: In this paper, the Krasnosels’kii ﬁxed point theorem in cones for
strict set-contraction is used to investigate the existence of single and twin positive
solutions for a class of a two-point boundary value problem of second-order
nonlinear diﬀerential equations posed on an inﬁnite interval. The nonlinearity,
which may have time-singularity, takes values in a general Banach space and have
at most polynomial growth with respect to the unknown.
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